On the Noetherian type of topological spaces

S. A. Peregudov

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 3, page 581-586
  • ISSN: 0010-2628

Abstract

top
The Noetherian type of topological spaces is introduced. Connections between the Noetherian type and other cardinal functions of topological spaces are obtained.

How to cite

top

Peregudov, S. A.. "On the Noetherian type of topological spaces." Commentationes Mathematicae Universitatis Carolinae 38.3 (1997): 581-586. <http://eudml.org/doc/248107>.

@article{Peregudov1997,
abstract = {The Noetherian type of topological spaces is introduced. Connections between the Noetherian type and other cardinal functions of topological spaces are obtained.},
author = {Peregudov, S. A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Noetherian type; rank weight; Noetherian type of a topological space; Noetherian space; rank weight of a space},
language = {eng},
number = {3},
pages = {581-586},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the Noetherian type of topological spaces},
url = {http://eudml.org/doc/248107},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Peregudov, S. A.
TI - On the Noetherian type of topological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 3
SP - 581
EP - 586
AB - The Noetherian type of topological spaces is introduced. Connections between the Noetherian type and other cardinal functions of topological spaces are obtained.
LA - eng
KW - Noetherian type; rank weight; Noetherian type of a topological space; Noetherian space; rank weight of a space
UR - http://eudml.org/doc/248107
ER -

References

top
  1. Arhangel'skii A.V., On bicompacta hereditarily satisfying the Souslin condition. Tightness and free sequences, Soviet Math. Dokl. 12 (1971), 1253-1257. (1971) MR0119188
  2. Bir'ukov P.A., Ranks of families of sets and properties of topological spaces (in Russian), DAN SSSR 4[257] (1981), 777-779. (1981) MR0612564
  3. Gruenhage G., Nyikos P., Spaces with bases of countable rank, Gen.Top. and Appl. 8 (1978), 233-257. (1978) Zbl0412.54034MR0494007
  4. Malyhin V.I., On Noetherian spaces (in Russian), Seminar of Gen. Topology, Moscow University, 1981 pp.51-58. 
  5. Peregudov S.A., On -uniform bases and π -bases, Soviet Math. Dokl. 17 (1976), 1055-1059. (1976) 
  6. Peregudov S.A., Shapirovskii B.E., A class of compact spaces, Soviet Math. Dokl. 17 (1976), 1296-1300. (1976) 
  7. Shapirovskii B.E., On π -character and π -weight of bicompact (in Russian), DAN SSSR 4[223] (1975), 799-802. (1975) MR0410632

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.